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Finding the Fourth Proportional to 114,464.32, 157,960.26 and 64,163.32

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Solution

The fourth proportional to 114,464.32, 157,960.26 and 64,163.32 is: 88,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464.32 : 157,960.26 = 64,163.32 : x
  2. Step 2: Convert to fraction form
    114,464.32/157,960.26 = 64,163.32/x
  3. Step 3: Cross multiply
    114,464.32x = 157,960.26 × 64,163.32
  4. Step 4: Simplify right side
    114,464.32x = 10,135,253,599.05
  5. Step 5: Solve for x
    x = 10,135,253,599.05/114,464.32
  6. Step 6: Final answer
    x = 88,545.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.